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Finding the Fourth Proportional to 9,609.57, 14,394.13 and 8,143.57

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Solution

The fourth proportional to 9,609.57, 14,394.13 and 8,143.57 is: 12,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.57 : 14,394.13 = 8,143.57 : x
  2. Step 2: Convert to fraction form
    9,609.57/14,394.13 = 8,143.57/x
  3. Step 3: Cross multiply
    9,609.57x = 14,394.13 × 8,143.57
  4. Step 4: Simplify right side
    9,609.57x = 117,219,548.90
  5. Step 5: Solve for x
    x = 117,219,548.90/9,609.57
  6. Step 6: Final answer
    x = 12,198.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.